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Can I read Poynting oscillations of a rigid disk supported by a neo-Hookean shaft on EtoBox?
Poynting oscillations of a rigid disk supported by a neo-Hookean shaft by Millard F. Beatty; Ranjan Bhattacharyya is a Engineering article available to read on EtoBox.
What is Poynting oscillations of a rigid disk supported by a neo-Hookean shaft about?
Simultaneous axial and torsional oscillations of a rigid disk attached to an elastomeric shaft are investigated. Five cases are solved exactly. The uncoupled, small amplitude axial and torsional oscillations of the disk are investigated for neo-Hookean and Mooney-Rivlin shafts with static stretch. The finite torsional vibration of the load superimposed on a static stretch of the shaft is studied for the Mooney-Rivlin model. Solutions for both small and fmitc amplitude, uniaxial vibrations of the body superimposed on a pretwisted neo-Hookean shaft with static stretch are derived. Simple bounds on the period for the finite motion are provided; and various universal frequency relations for neo-Hookean and Mooney-Rivlin materials arc identified. Finally, the main problem of finite, uniaxial vibrations accompanied by a small twisting motion is studied for the neo-Hookean model. The exact periodic solution for the axial response is obtained; and the coupled, small torsional motion is then determined by Hill's equation. A stability criterion for the Mathieu-Hili equation is used to obtain stability maps in a physical parameter space. Geometrical conditions sufficient for universal stabili
Who reads Poynting oscillations of a rigid disk supported by a neo-Hookean shaft?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Millard F. Beatty; Ranjan Bhattacharyya
- Publisher
- Springer Netherlands; Springer-Verlag; Kluwer Academic Publishers; Springer Science and Business Media LLC (ISSN 0374-3535)
- Published
- 1990
- Language
- EN
- Field
- Engineering (Physical Sciences)